Your link:
http://www.gotquestions.org/did-Jesus-exist.html is pure nonsense. Nonsense easily identified by the following quote:
"Typically when this question is asked, the person asking qualifies the question with "outside of the Bible." We do not grant this idea that the Bible cannot be considered a source of evidence for the existence of Jesus."
This obvious use of self-referential logic invalidates the entire site.
The so-called evidence from the second link is equally obvious nonsense. Look at this quote:
"Evidence from Pliny the Younger ... In one of his letters, dated around A.D. 112...."
A letter written ~100 years later is evidence of what? Suppose someone today, say the Governor of Vermont wrote an event that took place in 1906. Would you have the nerve to call it evidence? I think not.
And yet another from the same web site:
"Nero fastened the guilt . . . on a class hated for their abominations, called Christians by the populace."
This is evidence that there were people identified as Christians ... it is not evidence that there was a virgin birth or a resurrection without which Jesus Christ is as meaningful to history as any one of a billion others that have lived on this planet and died.
I think your zeal to establish a foundation for your belief system is blinding you to the quality of evidence that you would use to make a far more mundane decision such as who to vote for for mayor.
